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Calculus Single and Multivariable 6E Hardcover – 6 December 2012

4.2 out of 5 stars 70 ratings
Edition: 1st

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Calculus: Single and Multivariable, 6th Edition continues the effort to promote courses in which understanding and computation reinforce each other. The 6th Edition reflects the many voices of users at research universities, four-year colleges, community colleges, and secondary schools. This new edition has been streamlined to create a flexible approach to both theory and modeling. The text includes a variety of problems and examples from the physical, health, and biological sciences, engineering and economics; emphasizing the connection between calculus and other fields. In addition, new problems on the mathematics of sustainability and new case studies on calculus in medicine by David E. Sloane, MD have been added.

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Product description

About the Author

Deborah J. Hughes Hallett is a mathematician who works as a professor of mathematics at the University of Arizona. Her expertise is in the undergraduate teaching of mathematics. She has also taught as Professor of the Practice in the Teaching of Mathematics at Harvard University, and continues to hold an affiliation with Harvard as Adjunct Professor of Public Policy in the John F. Kennedy School of Government.

Hughes Hallett earned a bachelor's degree in mathematics from the University of Cambridge in 1966, and a master's degree from Harvard in 1976. She worked as a preceptor and senior preceptor at Harvard from 1975 to 1991, as an instructor at the Middle East Technical University in Ankara, Turkey from 1981 to 1984, and as a faculty member at Harvard from 1986 to 1998. She served as Professor of the Practice in the Teaching of Mathematics at Harvard from 1991 to 1998. She moved to Arizona in 1998, and took on her adjunct position at the Kennedy School in 2001.

Product details

  • Publisher ‏ : ‎ Wiley US
  • Publication date ‏ : ‎ 6 December 2012
  • Edition ‏ : ‎ 1st
  • Language ‏ : ‎ English
  • Print length ‏ : ‎ 1248 pages
  • ISBN-10 ‏ : ‎ 047088861X
  • ISBN-13 ‏ : ‎ 978-0470888612
  • Item weight ‏ : ‎ 2.47 kg
  • Dimensions ‏ : ‎ 21.84 x 4.57 x 26.92 cm
  • Customer Reviews:
    4.2 out of 5 stars 70 ratings

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  • Professor dot biz
    5.0 out of 5 stars THE Book People LOVE to HATE
    Reviewed in the United States on 11 December 2012
    Verified Purchase
    1,200 pages of calculus-- and the number one text used all the way from AP High School to Community Colleges to a full FOUR semesters of undergrad, by teachers that are heavy on problem practice, and "teaching to the test." You gotta love it, or if you suffered, begrudgingly get a love/hate thing going. On top of that, the previous editions offered an additional 384 pages of Student Solutions in a separate manual, available online and to teachers, but not yet students, in this new edition. Luckily, many of the older problems from 04, 05 and Hallett's solo book still apply, and you can get the older solutions manuals from third party sellers on Amazon. This review is of the new 2013 SIXTH edition.

    Like the previous editions, and even more so, this text is VERY up to date with CAS, calculators, and what's legal on all the exams, from ACE and SAT to GRE and advanced placement calculus. Each chapter has "challenge problems" that are specifically created for use with the TI-83/84 plus, the TI-89, the Voyage 200 and the Nspire system, and the authors make a point of using hundreds of "current" examples in the problems, from global oil consumption (ODE's as you might have guessed), to physics, engineering, biology, etc. Note that you can't use QWERTY on some of the exams, so the TI-89 Titanium is actually a Voyage without a QWERTY keyboard (or more accurately vice versa since voyage replaced the 92). Check your own exam for which is allowed.

    This text is NOT for self study unless you get your hands on the solutions manuals-- there are WAY too many wonderful problems that are key to exams and professionals that don't give in-text solutions. Also, so much is crammed into this volume that there is little time to go into depth, other than in the problems and exercises, of explanations. Without someone to turn to, you'll get stuck on the sheer volume of problems. If you're already good at basic calc, the problems will help broaden your base, but NOT for beginners!

    Corrections in this edition include ALL of the previous missing topics zinged by reviewers of previous editions, although a few are only a couple pages (reciprocal trig functions, log differentials, etc.), then covered in greater depth in the problems. Expanded areas include: area(chapter): Optimization (4), Integral averages (5), Mild intro to differential equations and motion-- antiderivatives (6), Triangles for trig substitutions (7), Peak oil production-- substituting logistics for the former population examples (11), Flux integrals and divergence (new chapter 19) and parametric surfaces (new chapter 21).

    Since this text is hated by many students and profs because it "teaches to the exam" with so many problems, why do so many still use it? NO OTHER text, even the best, has as many problems relevant to as many fields and applications. The downside is you can really get lost in those applications, as the index won't guide you to them. Since the explanations are thin, teachers will have to put in a lot of extra effort, which is worth it considering the level and scope of problems.

    The biggest "hatred" of students themselves for this volume has been intentionally preserved: the example problems do NOT match the homework problems, and even the student manual only gives solutions to half the odd problems. You will either hate or love this theory of teaching-- it makes students really "get" a concept, OR it puts an unfair and poor teaching practice burden on students by intentionally NOT covering what's asked about later. The authors may not have asked themselves the tough questions about self study or quality of teachers, but this "defect" (or benefit) is still adamantly pursued, promoted and insistently implemented.

    The price, like the trend in all texts today, is horrendous, but any student serious about confronting today's top exam questions, and the realities of Maple and CAS, can't avoid the types of problems that are found ONLY in this text, I'm sorry to report. I'm sensitive to budget and hate to say you will need a great prof or text augmentation with this series, but you will-- meaning even more expense. BUT, the extra effort will ultimately be worth it, because no other text has the quantity and level of relevant problems and exercises. If this "costs" in explanation and example space, there's no question you'll have to augment those areas with other resources.

    In short, if you're thinking of choosing this for a course, be aware of the philosophy of the authors. Light on examples and natural language explanations, heavy on practice problems. Some of that has been moderated in this new edition, especially with graphing, but the value of the series (problems) has been maintained, for better or worse. One technical note: the approach is PRACTICAL problem solving, NOT proofs, as in previous editions. So if this is for a graduate refresher course, it would be fine for (say) MBA's and Engineers, but not math majors. On the other hand, if you ARE a math major, and don't care about proofs, this is an ideal refresher text for problem variety and applications, as well as CAS and Maple relevance, with examples very up to date with the most recent algorithms and functions.

    AUGMENTING: If you do try self study with this volume, here are two suggestions:

    1. For a great review if you're rusty: Forgotten Calculus

    2. For a wonderful, intuitive and practical 900+ page text for under $17: Calculus: An Intuitive and Physical Approach (Second Edition) (Dover Books on Mathematics)

    Bleau gives lots of diagrams, and Kline explains the "why" behind all the hows. Stewart also is a mainstay, but expensive, and he gives many more hints on HOW to work the problems (Calculus. Many programs use Stewart now, but he also has his downsides in less graphics than Hallett, but better matching of problems to examples.
  • Herbert Powell
    5.0 out of 5 stars The Foundation I Needed to Major in Math
    Reviewed in the United States on 10 October 2021
    Verified Purchase
    I’m excited to finally write a review for this book, as it’s the book I learned calculus from. The only reason I haven’t yet is because I used an earlier edition from the early or mid 90s and haven’t been able to verify that the newer editions are similar. Well, I’ve recently looked through one and it’s actually more similar than I would have thought, which means that while the price of a new version of the latest edition is likely outrageous, a used slightly older edition is probably good enough (Though I’m not too up to date on all the sleazy practices used to force students to buy the newest editions—access codes and such—so maybe that’s not an option for some people.)

    This is the book I used to learn calculus--and the basics of trigonometry, for that matter--on my own when I was 16 and 17, so naturally I strongly disagree with any reviewer who claims that the book isn’t suitable for self-study. I actually stumbled upon this book by chance, and while I was “good” at math before, this is the book that really helped me see that math isn’t just a bunch of rules to memorize, that it actually makes sense, and that with patience and effort it can be learned at a deeper level than just what’s needed to pass the next test. Considering that I went on to major in math, it may not even be an exaggeration to say that it changed the direction of my life.

    Let’s be clear right now that this isn’t meant to be a so-called “rigorous” text like Spivak, which immediately rules it out among a certain type of reviewer. I’ll just say that , respectfully, I think that type of reviewer is some combination of (a) incredibly misguided as to what a first exposure to calculus should be and (b) suffering from “expert blindness” developed after already knowing calculus for years, and leave it at that. At any rate, while it’s not Bourbaki (and that’s a good thing!), it’s certainly not sloppy or superficial in any way. It really gets to the heart of things. You’ll learn what functions, derivatives, integrals, etc, actually are on an intuitive level while progressively doing more sophisticated math with them. The Fundamental Theorem of Calculus, in addition to being proved in the usual way for a first-year text, is explained using an example from everyday life that makes it blindingly obvious. To this day I’m baffled if I see someone claim that it’s some kind of huge surprise that slopes and areas under curves are intimately related.

    So, for a motivated and interested student this book is a great choice. (And to be fair, so are Kline and Rogawski, or 3blue1brown videos as supplements, among others.) I was both of those, and I had a solid foundation in arithmetic and a decent one in algebra and geometry before using this book. I know that may not be typical for many users of this book though. For an uninterested student forced to take calculus for credit, unfortunately every book might seem equally terrible. I sympathize completely. All I can say in that case is that if you really make an honest attempt with this book and maybe some videos I mentioned above, you should make it through the course!
  • Phoenix
    4.0 out of 5 stars I just hate math
    Reviewed in the United States on 11 December 2021
    Verified Purchase
    There was nothing wrong with this book it was very great ig. I just hate math so this wasn’t pleasurable for me considering I failed this class😂
  • Joseph Lillie
    5.0 out of 5 stars Great service. Great price.
    Reviewed in the United States on 16 October 2022
    Verified Purchase
    Great product. Great price
  • Seth Gunkel
    1.0 out of 5 stars I cried so much
    Reviewed in the United States on 19 February 2024
    Verified Purchase
    This book only left me confused when I was in school, as it would quickly introduce a concept and show some examples that just did not make any sense. I swear there were times where numbers popped out of nowhere and the book continues along as if you already knew the concept instead of teaching you. Many tears were shed with this book.